The number 10402
10402 is a composite number with 8 divisors. Its prime factorisation is 2 × 7 × 743. Divisors (8): 1, 2, 7, 14, 743, 1486, 5201, 10402.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 10402: a Harshad number: divisible by its digit sum 7.
- 2
10402 is composite. Its prime factorisation is
- 3
The divisors add up to 17856; without 10402 itself that is 7454, so 10402 is deficient (7454 is less than 10402). Euler's totient φ(10402) = 4452 numbers up to 10402 share no factor with it.
- 4
The digits of 10402 add up to 7, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 148 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10402 = 2 \times 7 \times 743 \]
10402 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 17856 |
| Euler totient φ(n) | 4452 |
| Square | 108201604 |
| Cube | 1125513084808 |
| Square root | 101.990196 |
| Digit sum / digital root | 7 / 7 |
| Collatz steps to 1 | 148 |
| Scientific notation | 1.0402 × |
10402 in other forms
| Form | Value |
|---|---|
| In words | ten thousand four hundred and two |
| Binary (base 2) | 10100010100010 |
| Octal (base 8) | 24242 |
| Hexadecimal (base 16) | 28A2 |
| Base 3 | 112021021 |
| As time | 10402 seconds = 2 h 53 min 22 s |
Is 10402 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (10402 ÷ 2 = 5201) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (10402 ÷ 7 = 1486) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 10402 a prime number?
No. 10402 = 2 × 7 × 743, so it is divisible by 2.
What are the factors of 10402?
1, 2, 7, 14, 743, 1486, 5201, 10402.
What is 10402 in binary?
10100010100010 (hexadecimal 28A2, octal 24242).
What is the square root of 10402?
About 101.9902.
Is 10402 divisible by 3?
No. Its digits add up to 7, which is not a multiple of 3.
What is special about the number 10402?
10402 is a Harshad number: divisible by its digit sum 7.